Probability Binomial Distribution (Bernoulli Trials)

We are starting a chapter of working through our discrete distributions. The first we are going to study is the binomial distribution. This is also called the Bernoulli trials. Before getting to the formula, it is very important that you understand and are able to recognize the general setting for this distribution. Regarding the formula for probability distribution, there are some terrible notation here, but it is kind of universal in the probability textbooks, so we are forced to deal with it. This lesson also covers some key properties of the binomial distribution - the mean, variance, and standard deviation.

Share this knowledge with your friends!

I mean when n equals to 7, i cannot using the table n equal to 10, because it is not a interval,in that case, we can only apply it with formulas, the tables only work when n equal to 5.10.15.20.25. is that right?

1 answer

Last reply by: Dr. William MurrayThu Aug 13, 2015 8:40 PM

Post by bo zhangon July 28, 2015

Hi Dr,thanks for post the video,here is my question,sometimes,when we calculate the probabilities of binomial distribution,we can use the formulas or the tables,normally,i use both to make sure that my answers are correct, but in your example 4, the n equal to 7,and i get a correct answer when i input the formulas, but it does not work when i try the tables, for instance in example 4, p is 0.8, n is 7,if we want to find exactly 5 times,i try to use P(xâ‰¤5ï¼‰â€”P(xâ‰¤4), after i check the tables, i found out the number is 0.027 which is far from the correct number 0.27, i think the mistake occurs from n of tables, in my tables, there are N equal to 5,10,15,20,25, we can apply it only when n tends to those 5,10,15,20,25,if n equals to 7,which means we cannot directly using the tables, am i right? this n of tables mean single number or it means a interval?

Binomial Distribution (Bernoulli Trials)

Binomial Distribution (Bernoulli Trials)

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.